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How to Find the Weight Difference Between Two Boxes in Pounds and Ounces
Mathematics
Grade 4 (Primary School)
Question Content
Gabby sent two boxes in the mail. The first box had a weight of 4 pounds 1 ounce. The second box had a weight of 1 pound 9 ounces. What is the difference between the weights of the two boxes in pounds and ounces? Options: A) 5 lb 10 oz, B) 3 lb 8 oz, C) 2 lb 8 oz, D) 2 lb 2 oz
Correct Answer
C) 2 lb 8 oz
Detailed Solution Steps
1
Step 1: Convert the first box's weight to all ounces to avoid borrowing issues. Since 1 pound = 16 ounces, 4 pounds = 4 × 16 = 64 ounces. Add the remaining 1 ounce: 64 + 1 = 65 ounces.
2
Step 2: Convert the second box's weight to all ounces. 1 pound = 16 ounces, so 16 + 9 = 25 ounces.
3
Step 3: Calculate the difference in ounces: 65 - 25 = 40 ounces.
4
Step 4: Convert 40 ounces back to pounds and ounces. Divide 40 by 16: 40 ÷ 16 = 2 pounds with a remainder of 8 ounces (since 2×16=32, 40-32=8).
5
Alternative Step (Borrowing Method): Since 1 ounce is less than 9 ounces, borrow 1 pound (16 ounces) from the 4 pounds of the first box. The first box becomes 3 pounds 17 ounces. Subtract the second box's weight: 3 lb 17 oz - 1 lb 9 oz = 2 lb 8 oz.
Knowledge Points Involved
1
Unit Conversion (Customary Weight Units)
In the US customary system, 1 pound (lb) = 16 ounces (oz). This conversion is used to switch between larger and smaller weight units, necessary for adding, subtracting, multiplying, or dividing weights with mixed units.
2
Subtraction of Mixed Units
When subtracting mixed units (pounds and ounces here), if the smaller unit of the minuend is less than the smaller unit of the subtrahend, you need to borrow 1 whole unit of the larger measurement, convert it to the smaller unit, and add it to the existing smaller unit value before subtracting.
3
Difference Calculation for Measurements
Finding the difference between two measurements means subtracting the smaller value from the larger value. This is used to compare quantities like weights, lengths, or volumes.
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